Joint Base Station Association and Power Allocation for Uplink Sum-Power Minimization

In this paper, the problem of sum-power minimization with Quality of Service (QoS) for a multicell multi-user uplink is addressed. This Power Control (PC) problem is formulated as a Mixed Integer Nonlinear Programming (MINLP) optimization problem and solved using a primal-dual infeasible-interior-point method (IIPM) after obtaining an equivalent non-linear programming (NLP) problem. Feasibility issues are handled by l₁-norm heuristics. Most of the iterative algorithms solve Power Allocation (PA) and Base Station Association (BSA) alternately with one of them fixed.With IIPM, PA and BSA are solved simultaneously thereby reducing it to a single stage problem. Simulation results are balanced as in the max-min case and converge to the optimum obtained by an existing exhaustive search. The advantage of l₁-norm infeasibility handing is also evident.